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Finding the Fourth Proportional to 6,956.75, 10,435.13 and 2,339.75

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Solution

The fourth proportional to 6,956.75, 10,435.13 and 2,339.75 is: 3,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.75 : 10,435.13 = 2,339.75 : x
  2. Step 2: Convert to fraction form
    6,956.75/10,435.13 = 2,339.75/x
  3. Step 3: Cross multiply
    6,956.75x = 10,435.13 × 2,339.75
  4. Step 4: Simplify right side
    6,956.75x = 24,415,583.72
  5. Step 5: Solve for x
    x = 24,415,583.72/6,956.75
  6. Step 6: Final answer
    x = 3,509.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.